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Finding the Fourth Proportional to 33,915.84, 50,882.88 and 14,184

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Solution

The fourth proportional to 33,915.84, 50,882.88 and 14,184 is: 21,279.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,915.84 : 50,882.88 = 14,184 : x
  2. Step 2: Convert to fraction form
    33,915.84/50,882.88 = 14,184/x
  3. Step 3: Cross multiply
    33,915.84x = 50,882.88 × 14,184
  4. Step 4: Simplify right side
    33,915.84x = 721,722,769.92
  5. Step 5: Solve for x
    x = 721,722,769.92/33,915.84
  6. Step 6: Final answer
    x = 21,279.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.